Dive into a comprehensive 4.5-hour video series on integral transforms, covering Fourier and Laplace transforms in depth. Explore Fourier transform concepts, including sine and cosine transforms, and their applications to boundary value problems. Master Laplace transform formulas, inverse transforms, and key properties such as shifting, multiplication, and division. Apply these techniques to solve ordinary and partial differential equations. Gain insights into Z-transforms, including inverse methods, properties, and practical examples. Enhance your understanding of integral transforms through detailed explanations and problem-solving demonstrations by Dr. Gajendra Purohit.
Overview
Syllabus
Fourier Transform Examples and Solutions | Inverse Fourier Transform.
Fourier Sine and Cosine Transform Examples and Solutions By GP Sir.
Application of Fourier Transforms to Boundary Value (PDE) Problems.
Formula of Laplace Transform and Inverse Laplace Transform | By Gp Sir.
Laplace Transform - First Shifting Theorem with Example | By GP Sir.
Laplace & Inverse Laplace Transform - Second Shifting Theorem | GP Sir.
Laplace & Inverse Laplace Transform - Multiplication Property | Gp Sir.
Laplace & Inverse Laplace Transform - Division Property | By Gp Sir.
Inverse Laplace Transform -Convolution Theorem Examples | By GP Sir.
Laplace Transform | Application to Ordinary Differential Equation | GP.
Laplace Transform | Application to Partial Differential Equations | GP.
Z-Transform | Inverse Z-Transform | Concept & Examples Of Z-Transform.
Z-Transform | Example Based on Z- Transform.
Properties of Z- Transform | Change of Scale | Shifting Properties.
Inverse Z-Transform | Inverse Z-Transform Using Partial Fraction | Problems and Example.
Z-Transform | Inverse Z-Transform Convolution Method | Examples.
Taught by
Gajendra Purohit
